Solve for f
\left\{\begin{matrix}f=\frac{\sqrt[3]{5}}{x^{\frac{5}{6}}}\text{, }&x>0\\f\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x=\frac{5^{\frac{2}{5}}}{f^{\frac{6}{5}}}\text{, }&f>0\end{matrix}\right.
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xf=\sqrt[3]{5\sqrt{x}}
The equation is in standard form.
\frac{xf}{x}=\frac{\sqrt[3]{5}\sqrt[6]{x}}{x}
Divide both sides by x.
f=\frac{\sqrt[3]{5}\sqrt[6]{x}}{x}
Dividing by x undoes the multiplication by x.
f=\frac{\sqrt[3]{5}}{x^{\frac{5}{6}}}
Divide \sqrt[3]{5}\sqrt[6]{x} by x.
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